Fractions

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Transcript of Fractions

Operations with Fractionsby Hamish ReedWhat Are Fractions?Multiplying FractionsWhen multiplying fractions, you simply multiply the numerators and the denominators with each other:Dividing fractionsTo divide fractions, you multiply them by the reciprocal fraction:Adding and Subtracting FractionsAdding and Subtracting Fractions with Different DenominatorsFirst thing to do is find the common denominator and keep the value of the fraction the same.You do this is by multiplying the denominator's together. You then multiply the numerator's by the denominator's add or subtract their product together and you've got your answer!At it's most basic conceptual level, a fraction is part of a whole.

If you have a pizza would you rather have 4/6 or 6/8 of the pizza?4/6 of the pizza is the same as 8/12 of the pizza 6/8 of the pizza is equivalent to 9/12 of the pizza...so what would you rather have, 4/6 or 6/8 of the pizza? Fractions help us figure this out!The FractionFraction barNumeratorDenominatorBy HamishIf you add or subtract fractions together with the same denominator, the answer will have the same denominator.

To find the total, just add or subtract the two numerators together:The reciprocal of a fractionThe reciprocal is the opposite of a fraction: 6/5 is the reciprocal of 5/63/4 + 2/4 = 5/4 = 1 1/4 for example:3/4/ + 1/4 = 4/4 = 17/8 + 2/5

(7 x 5) + (2 x 8) (5 x 8)

35 + 16 = 51 40 40 This method is known as: criss cross applesauce!You can simplify your fractions if both the numerator and the denominator can be divided by the same number... for example:With the fraction 20/35, both 20 and 35 are divisible by 5 so your simplified fraction with an equal value to 20/35 is 4/7.2 x 1 = (2 x 1) = 2 don't forget to simplify! 3 2 (3 x 2) 62 = 16 3